请输入您要查询的字词:

 

单词 Logarithmic Integral
释义

Logarithmic Integral

The logarithmic integral is defined by

(1)

The offset form appearing in the Prime Number Theorem is defined so that :
(2)
 (3)
 (4)

where is the Exponential Integral. (Note that the Notation is also used for theRamanujan independently discovered (Berndt 1994)that
(5)

where is the Euler-Mascheroni Constant and is Soldner's Constant. Another Formula dueto Ramanujan which converges more rapidly is


(6)

(Berndt 1994).

See also Polylogarithm, Prime Constellation, Prime Number Theorem, Skewes Number


References

Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 126-131, 1994.

Nielsen, N. Theorie des Integrallogarithms. New York: Chelsea, 1965.

Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 151, 1991.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2024/11/15 2:28:13